To find the value of x, we can work the two triangles separately; as follows:
So, according to the figures above:
x = y + z, and we can find y and z using Pythagoras theorem:
[tex]y\text{ = }\sqrt[]{14^2-12^2}=\text{ 2}\sqrt[]{13}[/tex][tex]z\text{ = }\sqrt[]{29^2-12^2}=\text{ }\sqrt[]{697}[/tex]Then:
[tex]x\text{ = 2}\sqrt[]{13\text{ }}+\text{ }\sqrt[]{697}=33.6[/tex]